Law Bruce M
Department of Physics, Kansas State University, 116 Cardwell Hall, Manhattan, KS, 66506-2601, USA.
Sci Rep. 2024 Oct 15;14(1):24090. doi: 10.1038/s41598-024-74884-6.
In the electron Born self-energy (eBse) model, free electrons are of finite-size and possess both a rest mass, m, as well as, a Born mass, m = 74,000 m. The Born mass, which originates from the energy contained within the electric field that surrounds a finite-sized electron, serves as a Dark Matter (DM) particle in this theory (designated eBDM, electron Born Dark Matter). The equation of state for m is w = -1, which implies that two Born masses experience a repulsive gravitational interaction. This repulsive gravitational interaction stabilizes the formation of a DM halo of m particles, of typical halo size ~ 100 kpc, around a central mass M (e.g. a galaxy), where this gravitational stability arises from the competing attractive M - m and repulsive m - m interactions. A solution of the linearized Poisson-Boltzmann equation, for this system, allows one to derive an expression for the rotational velocity V(R), as a function of radius R from the galactic center. A composite model composed of rotational velocity contributions from the galactic bulge, galactic disk, as well as, V(R) is found to provide a good description of the Grand Rotation Curves for the Milky Way and M31 galaxies.
在电子玻恩自能（eBse）模型中，自由电子具有有限大小，且既有静止质量(m)，又有玻恩质量(m = 74000m)。玻恩质量源自围绕有限大小电子的电场所含能量，在该理论中作为暗物质（DM）粒子（称为eBDM，即电子玻恩暗物质）。(m)的状态方程为(w = -1)，这意味着两个玻恩质量会经历排斥性引力相互作用。这种排斥性引力相互作用稳定了(m)粒子组成的暗物质晕的形成，典型晕大小约为(100)千秒差距，围绕中心质量(M)（如星系），其中这种引力稳定性源于吸引性的(M - m)相互作用与排斥性的(m - m)相互作用之间的竞争。对于该系统，线性化泊松 - 玻尔兹曼方程的一个解使人们能够推导出作为到星系中心距离(R)的函数的旋转速度(V(R))的表达式。由星系核球、星系盘以及(V(R))的旋转速度贡献组成的复合模型，被发现能很好地描述银河系和M31星系的总旋转曲线。
